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Finding the Fourth Proportional to 9,184.54, 13,775.46 and 2,610.58

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Solution

The fourth proportional to 9,184.54, 13,775.46 and 2,610.58 is: 3,915.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,184.54 : 13,775.46 = 2,610.58 : x
  2. Step 2: Convert to fraction form
    9,184.54/13,775.46 = 2,610.58/x
  3. Step 3: Cross multiply
    9,184.54x = 13,775.46 × 2,610.58
  4. Step 4: Simplify right side
    9,184.54x = 35,961,940.37
  5. Step 5: Solve for x
    x = 35,961,940.37/9,184.54
  6. Step 6: Final answer
    x = 3,915.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.